Answer:
x=-4
Step-by-step explanation:
The given equation is
Subtract 3 from both sides.
Divide both sides by -2.
If |x|=a, then x=a or x=-a.
Case 1:
Subtract 1.5 from both sides.
Divide both sides by 0.5.
Case 2:
Subtract 1.5 from both sides.
Divide both sides by 0.5.
Therefore, one solution is x=-2 and other solution is x=-4.
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)